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===== Homework for Spins =====
  - (ExpectationValue) {{page>homework:ph425questions:expectationvalues}}
    - {{page>homework:ph425questions:expectationvaluesa}}
    - {{page>homework:ph425questions:expectationvaluesb}}
    - {{page>homework:ph425questions:expectationvaluesb}}
  - (Magnet) \textit{This is a more advanced problem that focuses on the change of probabilities after time evolutions and changes of state due to a magnetic field.} {{page>homework:ph425questions:magnet}}
    - {{page>homework:ph425questions:magneta}}
    - {{page>homework:ph425questions:magnetb}}
    - {{page>homework:ph425questions:magnetc}}
    - {{page>homework:ph425questions:magnetd}}
  - (Frequency) \textit{This problem is initially tricky because the state given is not in the basis of the Hamiltonian, requiring a projection onto the Hamiltonian basis.  Also, the problem gives little information and requires students to keep everything in general.  Oftentimes students will get stuck looking for too much information, when all that's important is finding the relative phase in the expectation value for A.} {{page>homework:ph425questions:frequency}}
  - (Expectation) \textit{This is a well-rounded problem that has students perform a little of everything.  Students will have to find the eigenvalues and eigenvectors of the hamiltonian, time evolve, calculate probabilities, and find an expectation value.} {{page>homework:ph425questions:expectation}}
    - {{page>homework:ph425questions:expectationa}}
    - {{page>homework:ph425questions:expectationb}}
  - (Uncertainty) {{page>homework:ph425questions:uncertainty}}

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